WebJan 5, 2024 · If f (x) = 2x − 5 and g(x) = x2 + 1, what is g (f (x))? Precalculus Functions Defined and Notation Function Composition 1 Answer Narad T. Jan 5, 2024 The answer is = 4x2 − 20x +26 Explanation: This is a composition of functions f (x) = 2x −5 g(x) = x2 + 1 g(f (x)) = g(2x − 5) = (2x − 5)2 + 1 = 4x2 − 20x +25 + 1 = 4x2 − 20x +26 WebExample: evaluate the function f (x) = 2x+4 for x=5 Just replace the variable "x" with "5": f ( 5) = 2× 5 + 4 = 14 Answer: f (5) = 14 More Examples Here is a function: f (x) = 1 − x + x 2 f is just a name, x is just a place-holder. These are all the same function: f (x) = 1 − x + x 2 f (q) = 1 − q + q 2 w (A) = 1 − A + A 2 pumpkin (θ) = 1 − θ + θ 2
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WebSep 9, 2016 · Explanation: Looking at the equation, f (x) = (2x − 3)4(x2 + x +1)5 we first notice a couple patterns. 1. The function is a product of two terms 2. Each of the terms is a term with an exponent . Since the function is a product of two terms, we know that we have to use the Product Rule to find the first derivative. The Product Rule states, Webx2-2x-11=7x-1 Two solutions were found : x = 10 x = -1 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : ... how to sing like a professional singer
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WebCalculus. Find the Maximum/Minimum Value f (x)=x^2+2x-1. f (x) = x2 + 2x − 1 f ( x) = x 2 + 2 x - 1. The minimum of a quadratic function occurs at x = − b 2a x = - b 2 a. If a a is … WebThe steps in writing f (x)=18x+3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. Factor a out of the first two terms. f (x)=3 (x2+6x) Form a perfect square trinomial. f (x)=3 (x2+6x+9)−3 (9)Write the trinomial as a binomial squared. f (x)=3 (x+___)2−27 nova furnishing centre pte. ltd